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What Is a “Time-Bandit” Attack in Relation to Double-Spending?

A "time-bandit" attack is an extreme form of a 51% attack where the attacker attempts to rewrite a very long history of the blockchain, potentially reverting thousands of blocks. The attacker aims to steal block rewards and transaction fees from blocks mined long ago, essentially acting as a "time bandit." This is typically only economically viable if the stolen block rewards are immensely valuable and the cost of renting the hashrate for the extended duration is justified.

Can an Attacker Recoup the Attack Cost through Block Rewards Alone?
Can a 51% Attack Be Used to Steal Coins That the Attacker Does Not Already Possess?
Can a 51% Attack Be Used to Steal Other Users’ Cryptocurrency?
Can a 51 Percent Attack Be Used to Steal Other Users’ Funds?